Final answer:
The number that rounds to 300 to the nearest hundred must have a tens digit of 5 or more or be greater than 250 and less than 350. The only option that meets this criterion is (d) 338.
Step-by-step explanation:
To determine the number that rounds to 300 to the nearest hundred, it should be a number whose tens digit is 5 or more, if it is to be rounded up. When the tens digit is 4 or less, the number is rounded down. By looking at the options given, we can deduce the answer using this rule:
(a) 228 - The tens digit (2) is less than five, so this would round down to 200.
(b) 238 - The tens digit (3) is still less than five, so this too rounds down to 200.
(c) 328 - The tens digit (2) is less than five, so this would round down to 300.
(d) 338 - The tens digit (3) is less than five, but since the number is greater than 250, it rounds up to the next hundred (300).
Therefore, the correct answer is (d) 338, as it is the only number that will round to 300.